#include <cstdio>
#include <stdio.h>
#include <iostream>
#include <math.h>
#include <vector>
#include <queue>
#include <stack>
#include <deque>
#include <algorithm>
#include <utility>
#include <set>
#include <map>
#include <stdlib.h>
#include <cstring>
#include <string.h>
#include <string>
#include <sstream>
#include <assert.h>
#include <climits>
#include <sstream>
#include <numeric>
#include <time.h>
#include <limits.h>
#include <list>
#include <bitset>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <iomanip>
#include <complex>
#include <chrono>
#include <fstream>
#include <functional>
#include <unistd.h>
// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx,avx2,bmi,bmi2,lzcnt,popcnt")
#define lowbit(x) ((x) & -(x))
#define ml(a, b) ((1ll * (a) * (b)) % M)
#define tml(a, b) (a) = ((1ll * (a) * (b)) % M)
#define ad(a, b) ((0ll + (a) + (b)) % M)
#define tad(a, b) (a) = ((0ll + (a) + (b)) % M)
#define mi(a, b) ((0ll + M + (a) - (b)) % M)
#define tmi(a, b) (a) = ((0ll + M + (a) - (b)) % M)
#define tmin(a, b) (a) = min((a), (b))
#define tmax(a, b) (a) = max((a), (b))
#define iter(a) (a).begin(), (a).end()
#define riter(a) (a).rbegin(), (a).rend()
#define init(a, b) memset((a), (b), sizeof(a))
#define cpy(a, b) memcpy((a), (b), sizeof(a))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define size(x) (int)x.size()
#define pb emplace_back
#define mpr make_pair
#define ls(i) ((i) << 1)
#define rs(i) ((i) << 1 | 1)
#define INF 0x3f3f3f3f
#define NIF 0xc0c0c0c0
#define eps 1e-9
#define F first
#define S second
#define AC cin.tie(0)->sync_with_stdio(0)
using namespace std;
typedef long long llt;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<llt, llt> pll;
typedef complex<double> cd;
// const int M = 998244353;
// random_device rm;
// mt19937 rg(rm());
// default_random_engine rg(rm());
// uniform_int_distribution<int> rd(INT_MIN, INT_MAX);
// uniform_real_distribution<double> rd(0, M_PI);
void db() { cerr << "\n"; }
template <class T, class... U>
void db(T a, U... b) { cerr << a << " ", db(b...); }
inline char gc()
{
const static int SZ = 1 << 16;
static char buf[SZ], *p1, *p2;
if (p1 == p2 && (p2 = buf + fread(p1 = buf, 1, SZ, stdin), p1 == p2))
return -1;
return *p1++;
}
void rd() {}
template <typename T, typename... U>
void rd(T &x, U &...y)
{
x = 0;
bool f = 0;
char c = gc();
while (!isdigit(c))
f ^= !(c ^ 45), c = gc();
while (isdigit(c))
x = (x << 1) + (x << 3) + (c ^ 48), c = gc();
f && (x = -x), rd(y...);
}
template <typename T>
void prt(T x)
{
if (x < 0)
putchar('-'), x = -x;
if (x > 9)
prt(x / 10);
putchar((x % 10) ^ 48);
}
const int N = 5e5 + 5;
vector<int> eg[N];
struct A
{
llt mx, nm;
A() : mx(0), nm(1) {}
void operator+=(const A &rh)
{
if (rh.mx == mx)
nm += rh.nm;
else if (rh.mx > mx)
*this = rh;
}
} dp[N], ans;
void dfs(int u, int fa)
{
for (int v : eg[u])
{
if (v == fa)
continue;
dfs(v, u);
dp[u] += dp[v];
}
dp[u].mx++;
}
void slv(int u, int fa)
{
A mx, sc;
sc.mx = -INF;
llt v0, v1, v2;
v0 = v1 = v2 = -INF;
for (int v : eg[u])
{
if (dp[v].mx == mx.mx)
mx.nm += dp[v].nm;
else
{
if (dp[v].mx > mx.mx)
sc += mx, mx = dp[v];
else
sc += dp[v];
}
tmax(v2, dp[v].mx);
if (v2 > v1)
swap(v1, v2);
if (v1 > v0)
swap(v1, v0);
}
A cr;
cr.mx = v0 * (v1 + v2);
if (cr.mx >= ans.mx)
{
cr.nm = 0;
if (v1 == v2)
{
int num = 0;
for (int v : eg[u])
if (dp[v].mx == v1)
num += dp[v].nm, cr.nm -= (dp[v].nm - 1) * dp[v].nm;
cr.nm += (num - 1ll) * num, cr.nm >>= 1;
}
else
{
int n1 = 0, n2 = 0;
for (int v : eg[u])
{
if (dp[v].mx == v1)
n1 += dp[v].nm;
else if (dp[v].mx == v2)
n2 += dp[v].nm;
}
cr.nm += 1ll * n1 * n2;
}
ans += cr;
}
A pr = dp[u];
for (int v : eg[u])
{
if (v == fa)
continue;
if (dp[v].mx == mx.mx)
{
if (dp[v].nm == mx.nm)
dp[u] = sc;
else
dp[u] = mx, dp[u].nm -= dp[v].nm;
}
else
dp[u] = mx;
dp[u].mx++;
slv(v, u);
}
dp[u] = pr;
}
signed main()
{
int n, x, y;
rd(n);
for (int i = 1; i < n; i++)
{
rd(x, y);
eg[x].pb(y);
eg[y].pb(x);
}
dfs(1, -1), slv(1, -1);
prt(ans.mx), putchar(' ');
prt(ans.nm), putchar('\n');
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
19804 KB |
Output is correct |
2 |
Correct |
5 ms |
19804 KB |
Output is correct |
3 |
Correct |
4 ms |
19804 KB |
Output is correct |
4 |
Correct |
5 ms |
19892 KB |
Output is correct |
5 |
Correct |
4 ms |
19804 KB |
Output is correct |
6 |
Correct |
4 ms |
19804 KB |
Output is correct |
7 |
Correct |
4 ms |
19804 KB |
Output is correct |
8 |
Correct |
5 ms |
19804 KB |
Output is correct |
9 |
Correct |
5 ms |
19956 KB |
Output is correct |
10 |
Correct |
4 ms |
19804 KB |
Output is correct |
11 |
Correct |
4 ms |
19804 KB |
Output is correct |
12 |
Correct |
4 ms |
19804 KB |
Output is correct |
13 |
Correct |
4 ms |
19804 KB |
Output is correct |
14 |
Correct |
5 ms |
19800 KB |
Output is correct |
15 |
Correct |
4 ms |
19800 KB |
Output is correct |
16 |
Correct |
4 ms |
19804 KB |
Output is correct |
17 |
Correct |
4 ms |
19804 KB |
Output is correct |
18 |
Correct |
4 ms |
20000 KB |
Output is correct |
19 |
Correct |
4 ms |
19988 KB |
Output is correct |
20 |
Correct |
5 ms |
19804 KB |
Output is correct |
21 |
Correct |
5 ms |
19804 KB |
Output is correct |
22 |
Correct |
5 ms |
19804 KB |
Output is correct |
23 |
Correct |
4 ms |
19992 KB |
Output is correct |
24 |
Correct |
4 ms |
19800 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
19804 KB |
Output is correct |
2 |
Correct |
5 ms |
19804 KB |
Output is correct |
3 |
Correct |
4 ms |
19804 KB |
Output is correct |
4 |
Correct |
5 ms |
19892 KB |
Output is correct |
5 |
Correct |
4 ms |
19804 KB |
Output is correct |
6 |
Correct |
4 ms |
19804 KB |
Output is correct |
7 |
Correct |
4 ms |
19804 KB |
Output is correct |
8 |
Correct |
5 ms |
19804 KB |
Output is correct |
9 |
Correct |
5 ms |
19956 KB |
Output is correct |
10 |
Correct |
4 ms |
19804 KB |
Output is correct |
11 |
Correct |
4 ms |
19804 KB |
Output is correct |
12 |
Correct |
4 ms |
19804 KB |
Output is correct |
13 |
Correct |
4 ms |
19804 KB |
Output is correct |
14 |
Correct |
5 ms |
19800 KB |
Output is correct |
15 |
Correct |
4 ms |
19800 KB |
Output is correct |
16 |
Correct |
4 ms |
19804 KB |
Output is correct |
17 |
Correct |
4 ms |
19804 KB |
Output is correct |
18 |
Correct |
4 ms |
20000 KB |
Output is correct |
19 |
Correct |
4 ms |
19988 KB |
Output is correct |
20 |
Correct |
5 ms |
19804 KB |
Output is correct |
21 |
Correct |
5 ms |
19804 KB |
Output is correct |
22 |
Correct |
5 ms |
19804 KB |
Output is correct |
23 |
Correct |
4 ms |
19992 KB |
Output is correct |
24 |
Correct |
4 ms |
19800 KB |
Output is correct |
25 |
Correct |
5 ms |
20312 KB |
Output is correct |
26 |
Correct |
5 ms |
20312 KB |
Output is correct |
27 |
Correct |
5 ms |
20316 KB |
Output is correct |
28 |
Correct |
6 ms |
20440 KB |
Output is correct |
29 |
Correct |
6 ms |
20316 KB |
Output is correct |
30 |
Correct |
5 ms |
20312 KB |
Output is correct |
31 |
Correct |
5 ms |
20316 KB |
Output is correct |
32 |
Correct |
5 ms |
20312 KB |
Output is correct |
33 |
Correct |
5 ms |
20312 KB |
Output is correct |
34 |
Correct |
5 ms |
20312 KB |
Output is correct |
35 |
Correct |
5 ms |
20316 KB |
Output is correct |
36 |
Correct |
5 ms |
20248 KB |
Output is correct |
37 |
Correct |
5 ms |
20572 KB |
Output is correct |
38 |
Correct |
6 ms |
20828 KB |
Output is correct |
39 |
Correct |
5 ms |
20316 KB |
Output is correct |
40 |
Correct |
6 ms |
20060 KB |
Output is correct |
41 |
Correct |
5 ms |
20060 KB |
Output is correct |
42 |
Correct |
6 ms |
19992 KB |
Output is correct |
43 |
Correct |
5 ms |
20060 KB |
Output is correct |
44 |
Correct |
5 ms |
20056 KB |
Output is correct |
45 |
Correct |
5 ms |
20060 KB |
Output is correct |
46 |
Correct |
6 ms |
20060 KB |
Output is correct |
47 |
Correct |
5 ms |
20060 KB |
Output is correct |
48 |
Correct |
5 ms |
20312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
19804 KB |
Output is correct |
2 |
Correct |
5 ms |
19804 KB |
Output is correct |
3 |
Correct |
4 ms |
19804 KB |
Output is correct |
4 |
Correct |
5 ms |
19892 KB |
Output is correct |
5 |
Correct |
4 ms |
19804 KB |
Output is correct |
6 |
Correct |
4 ms |
19804 KB |
Output is correct |
7 |
Correct |
4 ms |
19804 KB |
Output is correct |
8 |
Correct |
5 ms |
19804 KB |
Output is correct |
9 |
Correct |
5 ms |
19956 KB |
Output is correct |
10 |
Correct |
4 ms |
19804 KB |
Output is correct |
11 |
Correct |
4 ms |
19804 KB |
Output is correct |
12 |
Correct |
4 ms |
19804 KB |
Output is correct |
13 |
Correct |
4 ms |
19804 KB |
Output is correct |
14 |
Correct |
5 ms |
19800 KB |
Output is correct |
15 |
Correct |
4 ms |
19800 KB |
Output is correct |
16 |
Correct |
4 ms |
19804 KB |
Output is correct |
17 |
Correct |
4 ms |
19804 KB |
Output is correct |
18 |
Correct |
4 ms |
20000 KB |
Output is correct |
19 |
Correct |
4 ms |
19988 KB |
Output is correct |
20 |
Correct |
5 ms |
19804 KB |
Output is correct |
21 |
Correct |
5 ms |
19804 KB |
Output is correct |
22 |
Correct |
5 ms |
19804 KB |
Output is correct |
23 |
Correct |
4 ms |
19992 KB |
Output is correct |
24 |
Correct |
4 ms |
19800 KB |
Output is correct |
25 |
Correct |
5 ms |
20312 KB |
Output is correct |
26 |
Correct |
5 ms |
20312 KB |
Output is correct |
27 |
Correct |
5 ms |
20316 KB |
Output is correct |
28 |
Correct |
6 ms |
20440 KB |
Output is correct |
29 |
Correct |
6 ms |
20316 KB |
Output is correct |
30 |
Correct |
5 ms |
20312 KB |
Output is correct |
31 |
Correct |
5 ms |
20316 KB |
Output is correct |
32 |
Correct |
5 ms |
20312 KB |
Output is correct |
33 |
Correct |
5 ms |
20312 KB |
Output is correct |
34 |
Correct |
5 ms |
20312 KB |
Output is correct |
35 |
Correct |
5 ms |
20316 KB |
Output is correct |
36 |
Correct |
5 ms |
20248 KB |
Output is correct |
37 |
Correct |
5 ms |
20572 KB |
Output is correct |
38 |
Correct |
6 ms |
20828 KB |
Output is correct |
39 |
Correct |
5 ms |
20316 KB |
Output is correct |
40 |
Correct |
6 ms |
20060 KB |
Output is correct |
41 |
Correct |
5 ms |
20060 KB |
Output is correct |
42 |
Correct |
6 ms |
19992 KB |
Output is correct |
43 |
Correct |
5 ms |
20060 KB |
Output is correct |
44 |
Correct |
5 ms |
20056 KB |
Output is correct |
45 |
Correct |
5 ms |
20060 KB |
Output is correct |
46 |
Correct |
6 ms |
20060 KB |
Output is correct |
47 |
Correct |
5 ms |
20060 KB |
Output is correct |
48 |
Correct |
5 ms |
20312 KB |
Output is correct |
49 |
Correct |
249 ms |
59180 KB |
Output is correct |
50 |
Correct |
237 ms |
63568 KB |
Output is correct |
51 |
Correct |
270 ms |
67084 KB |
Output is correct |
52 |
Correct |
229 ms |
53992 KB |
Output is correct |
53 |
Correct |
190 ms |
61336 KB |
Output is correct |
54 |
Correct |
189 ms |
65228 KB |
Output is correct |
55 |
Correct |
176 ms |
55016 KB |
Output is correct |
56 |
Correct |
199 ms |
59524 KB |
Output is correct |
57 |
Correct |
223 ms |
69920 KB |
Output is correct |
58 |
Correct |
246 ms |
64924 KB |
Output is correct |
59 |
Correct |
213 ms |
64852 KB |
Output is correct |
60 |
Correct |
207 ms |
62388 KB |
Output is correct |
61 |
Correct |
405 ms |
98128 KB |
Output is correct |
62 |
Correct |
381 ms |
86608 KB |
Output is correct |
63 |
Correct |
416 ms |
53760 KB |
Output is correct |
64 |
Correct |
405 ms |
45748 KB |
Output is correct |
65 |
Correct |
402 ms |
40736 KB |
Output is correct |
66 |
Correct |
354 ms |
37972 KB |
Output is correct |
67 |
Correct |
370 ms |
36656 KB |
Output is correct |
68 |
Correct |
401 ms |
35924 KB |
Output is correct |
69 |
Correct |
425 ms |
35900 KB |
Output is correct |
70 |
Correct |
368 ms |
35740 KB |
Output is correct |
71 |
Correct |
426 ms |
35672 KB |
Output is correct |
72 |
Correct |
332 ms |
35664 KB |
Output is correct |
73 |
Correct |
401 ms |
35504 KB |
Output is correct |
74 |
Correct |
397 ms |
35800 KB |
Output is correct |
75 |
Correct |
386 ms |
35908 KB |
Output is correct |
76 |
Correct |
354 ms |
39748 KB |
Output is correct |
77 |
Correct |
254 ms |
40584 KB |
Output is correct |
78 |
Correct |
143 ms |
41404 KB |
Output is correct |